Classification and rigidity of self-shrinkers in the Mean curvature flow

Details Classification and rigidity of self-shrinkers in the Mean curvature flow Classification and rigidity of self-shrinkers in the Mean curvature flow

2012-01-23

arxiv.org/abs/1201.4623v1

Mathematics

Differential Geometry

22 pages

Scientific paper

In this paper, we first use the method of Colding and Minicozzi [5] to show
that K. Smoczyk's classification theorem [16] for complete self-shrinkers in
higher codimension also holds under a weaker condition. Then as an application,
we give some rigidity results for self-shrinkers in arbitrary codimension.

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